[Solved] \[\text { Let } a _ { 1 } = 2 , a _ { 2 } = 9 \text {, and } a _ { n } = 2 a _ { n - 1 } + 3 a _ { n - 2 } \text { for } n \geq 3 \text {. Show that } a _ { n } \leq 3 ^ { n } \text { for all positive integers } n \text {. }\] British Pounds: The official currency of the United Kingdom, also known as GBP or Sterling, used as a benchmark currency internationally. Indirect Equivalent: A term referring to the conversion or comparison of something through an intermediary or secondary measure. Euro: A common European currency adopted in January 2002 by most of the members of the European Union. Indirect Quote: A way of quoting exchange rates in foreign exchange markets, representing the amount of foreign currency required to buy one unit of the domestic currency.

Solved

question 10

Essay

$\text { Let } a _ { 1 } = 2 , a _ { 2 } = 9 \text {, and } a _ { n } = 2 a _ { n - 1 } + 3 a _ { n - 2 } \text { for } n \geq 3 \text {. Show that } a _ { n } \leq 3 ^ { n } \text { for all positive integers } n \text {. }$

Definitions:

British Pounds

The official currency of the United Kingdom, also known as GBP or Sterling, used as a benchmark currency internationally.

Indirect Equivalent

A term referring to the conversion or comparison of something through an intermediary or secondary measure.

Euro

A common European currency adopted in January 2002 by most of the members of the European Union.

Indirect Quote

A way of quoting exchange rates in foreign exchange markets, representing the amount of foreign currency required to buy one unit of the domestic currency.